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Finding the Fourth Proportional to 1,297.99, 1,947.09 and 640.23

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Solution

The fourth proportional to 1,297.99, 1,947.09 and 640.23 is: 960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.99 : 1,947.09 = 640.23 : x
  2. Step 2: Convert to fraction form
    1,297.99/1,947.09 = 640.23/x
  3. Step 3: Cross multiply
    1,297.99x = 1,947.09 × 640.23
  4. Step 4: Simplify right side
    1,297.99x = 1,246,585.43
  5. Step 5: Solve for x
    x = 1,246,585.43/1,297.99
  6. Step 6: Final answer
    x = 960.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.